On the download page, click on the links more below 'LimeWire Build Downloads' for direct download of source code. I used the first link 'LimeWire Source Code Downloads' and got stuck at a register page.
http://www.limewire.org/project/www/download.html
I'm not sure if this is the latest code and if all release get automatic available for unregisterd-users. I was just able to download some code.
Greets, Moak
PS: <conspiracy> on purose </conspiracy>